Rotate the point (9, 5)

Question

on a geometric figure 270 degrees clockwise. What is the new point?(1 point)
Responses

(−5,−9)
left parenthesis negative 5 comma negative 9 right parenthesis

(5, 9)
left parenthesis 5 comma 9 right parenthesis

(−9,−5)
left parenthesis negative 9 comma negative 5 right parenthesis

(−5, 9)

Answer 1

To rotate the point \( (9, 5) \) 270 degrees clockwise, we can use the rotation formula. In general, a counterclockwise rotation of 270 degrees is equivalent to a clockwise rotation of 90 degrees.

The formula for rotating a point \( (x, y) \) counterclockwise by 90 degrees is: \[ (x, y) \to (-y, x) \]

Thus, rotating \( (9, 5) \) 90 degrees clockwise gives: \[ (9, 5) \to (-5, 9) \]

Therefore, the new point after a 270-degree clockwise rotation is \( (-5, 9) \).

The correct response is: \[ (-5, 9) \]